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Finding the Fourth Proportional to 12,943, 19,414.86 and 4,178.80

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Solution

The fourth proportional to 12,943, 19,414.86 and 4,178.80 is: 6,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,943 : 19,414.86 = 4,178.80 : x
  2. Step 2: Convert to fraction form
    12,943/19,414.86 = 4,178.80/x
  3. Step 3: Cross multiply
    12,943x = 19,414.86 × 4,178.80
  4. Step 4: Simplify right side
    12,943x = 81,130,816.97
  5. Step 5: Solve for x
    x = 81,130,816.97/12,943
  6. Step 6: Final answer
    x = 6,268.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.